An objection is raised to restricting all taqsīm to a prior listing followed by expressly assigned predicates: some other constructions are also called taqsīm in rhetorical usage.
One analysis takes “division” more broadly than laff wa nashr, because a completely separate initial list is not required in every use. Another focuses on the speaker’s explicit assignment of the relevant attributes.
The prudent distinction is to preserve this specific technical use without assuming that every later occurrence of the word taqsīm must follow precisely the same formula. The source itself introduces additional uses near the end of the section.